Highway 93 is actually highway 93 & 95. It splits into 2 separate highways at Radium BC, Highway 95 takes you to Golden BC and Highway 93 takes you to Castle mountain (about 15 miles east of Lake Louise)
I would recommend Highway 93 to Castle mountain, it is very scenic. If you want to see Lake Louise you will need to head west for 15 miles once you get to Castle mountain. I would also recommend the Highway 1A between Lake Louise and Banff. It runs parallel to Highway 1, but is a lot quieter.